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Finding the Fourth Proportional to 6,542.44, 9,800.52 and 3,027.52

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Solution

The fourth proportional to 6,542.44, 9,800.52 and 3,027.52 is: 4,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.44 : 9,800.52 = 3,027.52 : x
  2. Step 2: Convert to fraction form
    6,542.44/9,800.52 = 3,027.52/x
  3. Step 3: Cross multiply
    6,542.44x = 9,800.52 × 3,027.52
  4. Step 4: Simplify right side
    6,542.44x = 29,671,270.31
  5. Step 5: Solve for x
    x = 29,671,270.31/6,542.44
  6. Step 6: Final answer
    x = 4,535.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.